%log scale, quarterly % unit
% y c i w h u pi r
%From 1981.1Q onward, r is an extrapolated series.

data_q = [
3.717535233	1.81273568	6.525070077	0.091005558	0.34853105	1.391150442	0.732159017	1.373860378
3.293129056	1.473364246	4.478240827	0.14230358	0.319645022	0.751150442	0.734570648	1.025043666
3.217968879	1.038839813	3.935063577	-0.055901598	0.354868085	0.991150442	0.776115346	1.057760417
2.403489703	0.99421938	3.465623328	-0.060670876	0.456338233	1.271150442	0.774172897	0.957601964
2.342514526	1.703623946	0.883184078	0.035367846	0.191390963	0.491150442	0.372460099	0.897343734
2.720406349	2.413225513	1.772735828	0.717499768	-0.008981351	-0.908849558	0.336159961	1.038093745
1.377324173	0.771571079	-0.468809422	0.97193169	0.057373942	-0.888849558	0.565206969	1.02461038
1.031607996	2.051015646	-3.988484671	1.023482013	-0.075552953	-1.868849558	0.459412344	0.955343663
0.110593819	1.248540213	-8.044078921	0.856402035	0.01715361	-1.408849558	-0.030852245	0.903951982
-0.458640357	0.758009779	-7.767011171	0.509270357	0.091569742	-0.908849558	0.057623205	0.792768656
-0.844828534	0.438007346	-9.244285421	0.272976979	0.224527356	0.431150442	0.168820606	0.859727084
-1.610151711	-0.132142087	-10.79155767	-0.068877999	0.362627817	1.991150442	0.492393087	0.815952002
-1.977429888	-0.834446521	-9.01165792	-0.040963777	0.494701471	3.231150442	0.284296216	0.790477056
-1.740884064	-0.757253954	-9.49693117	-0.641864154	0.845230695	3.731150442	0.365438258	0.706110338
-1.483549241	-0.764626388	-6.70204942	-0.872613332	0.889310357	3.411150442	0.283387613	0.783226986
-2.231413418	-1.748385821	-4.151750669	-1.01262281	0.828694151	4.271150442	0.504553908	0.800310392
-0.803748594	-1.234883254	2.390350081	-1.399470488	0.838279353	3.771150442	0.316124723	0.80721865
-1.319834771	-0.865926688	-2.120916169	-0.551631266	0.392452109	3.991150442	0.106289947	0.76217701
-1.476712948	-1.665664121	2.558390581	-0.721632644	0.467570411	3.931150442	0.197513852	0.822948624
-0.819574124	-0.558936555	2.845990331	-0.608430421	0.446478153	3.291150442	-0.07272521	1.086238624
-1.852354301	-1.219040988	1.264424082	-0.348775299	0.348014734	2.551150442	0.401414308	0.795013624
-2.502426478	-1.945417421	2.396610832	-0.548990677	0.422919321	1.231150442	-0.299714132	0.383481124
-2.436221654	-1.650604855	0.913633582	-0.107750955	0.233397611	0.191150442	-0.38549828	0.398273624
-2.584265831	-2.257823288	0.520317332	0.048102967	0.289726267	-0.848849558	-0.342412233	0.289181124
-3.605425008	-2.130881721	-3.293553917	-0.108494911	0.416548473	0.011150442	-0.006147266	0.276106124
-3.865650185	-2.379852155	-2.352499167	-0.436549589	0.631699025	-0.568849558	-0.064097063	0.085948624
-2.885736361	-1.833612588	-0.289047417	-0.528315266	0.836260285	0.851150442	0.055557932	0.069848624
-1.692139538	-1.182051022	0.336724333	-0.489869244	1.237514328	2.831150442	-0.173087985	0.141513624
-0.899788715	-1.271379455	3.919706084	0.813940178	0.890027793	3.911150442	-0.203908407	0.147656124
-1.178830891	-1.032652888	5.750801834	0.5905051	1.060870584	4.051150442	-0.171728634	0.105548624
-3.72E-01	-1.265688322	10.54977158	0.660164722	1.214658124	4.651150442	-0.032516724	0.220306124
-0.155842245	-1.125114755	11.38311933	0.955711144	0.980463213	4.991150442	0.127630691	0.265898624
1.502728579	1.057115811	18.56844308	0.389430667	1.468246395	5.771150442	0.147964048	0.270096124
-0.989330598	-2.491656622	13.72675583	0.143422589	1.710233644	6.391150442	0.36099753	0.412246124
-0.379522775	-1.019978055	14.39535859	0.327860611	1.470032002	5.491150442	0.234079753	0.562521124
1.046017049	0.788362511	17.77452634	0.682765133	1.327660977	5.191150442	0.122094083	0.776856124
0.218860872	-0.262191922	17.17854109	-0.389880045	1.939071763	5.531150442	0.439919467	0.896208624
1.700732695	0.519195644	20.00498284	-0.230671023	2.215387279	6.451150442	0.384248058	1.041656124
2.085325518	0.938031211	20.69193659	-0.3880418	2.272119965	6.651150442	0.452905986	1.128721124
1.353017342	-0.294468222	20.66850934	-1.188117478	2.358376969	7.031150442	0.897896927	1.235933624
1.858677165	-0.710010656	22.38929709	-0.608367556	1.476536105	6.491150442	0.543784066	1.263863624
0.758448988	-0.404080089	17.92413084	-0.443525434	1.313441658	5.551150442	0.213085683	1.251738624
0.764743869	-0.470113505	17.34334784	-0.557689239	1.150549732	4.691150442	0.392834337	1.059016124
1.10672175	0.18579808	16.18389284	-0.396027145	0.872012681	3.371150442	0.353249437	0.855346124
1.014208631	1.009321665	11.99164184	-0.19247705	0.132307021	1.811150442	0.365830522	0.631336124
0.995539511	0.665791249	12.39166184	-0.145901756	-0.380407131	0.231150442	0.54921623	0.414846124
0.942415392	0.709412834	10.25932684	-0.067532861	-0.439615806	-0.988849558	0.116731948	0.299228624
0.286626273	-0.219966582	5.724214837	-0.076174867	-0.688537097	-2.908849558	0.112140549	0.219028624
1.385110153	0.696070003	8.467098837	-0.406830372	-0.211322839	-2.428849558	0.062582553	0.094308624
0.042539034	-0.227580413	-0.324634163	-0.807074278	-0.153470799	-2.688849558	0.119335181	0.026111124
-0.788497085	-0.028646828	-5.511933163	-0.750392283	-0.217607385	-3.548849558	0.012414343	-0.003023876
-1.083812204	0.965410756	-11.44037216	-0.246164388	-0.720047705	-5.428849558	-0.05793529	-0.153421376
-0.460879324	1.252367341	-8.655059163	-0.373988194	-0.394310297	-5.548849558	-0.033200805	-0.205396376
-0.997299443	0.453626925	-9.481115163	-0.210398399	-0.400972214	-4.708849558	0.12541276	-0.246513876
-0.257591562	1.63635051	-10.21439316	-0.088533105	-0.132561594	-3.308849558	-0.272531243	-0.240398876
-0.896873682	0.669012094	-9.397481163	0.31600819	-0.095455597	-1.468849558	-0.295544384	-0.207356376
-0.659002801	0.669356679	-10.03251716	0.198310384	0.003103076	-1.808849558	-0.061294869	-0.219168876
0.14201308	1.364896264	-5.497781163	0.634441079	-0.0305514	-1.588849558	-0.444529991	-0.430731376
9.38E-01	1.689296848	-6.319780163	0.954166573	-0.167472491	-3.468849558	-0.162501964	-0.573683876
0.761454841	2.100412433	-5.809506163	1.004859868	-0.062326492	-2.688849558	-0.147356342	-0.658326376
1.126390722	2.449048017	-11.32921216	1.441163163	-0.249418223	-2.968849558	-0.190946648	-0.658858876
1.780942603	2.313928602	-6.659449163	1.367619357	-0.155451164	-2.668849558	-0.199608245	-0.655028876
2.073713483	2.260203186	-3.295175163	1.243521752	0.036835884	-1.588849558	-0.092445173	-0.657663876
3.265758364	2.867086771	-1.388537163	1.343201846	0.047817619	-0.528849558	-0.106646644	-0.654011376
3.490898245	4.593959355	-0.774670163	0.802578641	0.545289156	1.431150442	-0.007380686	-0.649721376
2.193941126	0.27550694	-0.385120163	1.125584435	0.235406807	1.051150442	0.046706099	-0.650668876
1.656287006	1.174005524	-0.220380163	0.90653723	-0.025863772	0.331150442	0.011941405	-0.650886376
1.961075887	0.638600109	0.760918837	0.545725224	-0.30958126	-1.248849558	-0.026630897	-0.660061376
-0.033128232	-0.247730307	-2.100506163	0.753166119	-0.709368139	-2.648849558	-0.413634544	-0.665523876
-0.760384352	-0.899037722	-3.753681163	0.663682714	-0.925882492	-4.408849558	-0.351561841	-0.664841376
-0.377816471	-0.291469138	-7.064013163	0.550642308	-0.984616314	-5.148849558	-0.347622503	-0.677026376
-0.62865759	-0.411453553	-12.82596316	0.378214003	-1.028828604	-5.448849558	-0.072236748	-0.716511376
-1.491746709	-0.545775968	-10.78919616	-0.018416703	-0.942114393	-5.048849558	-0.192844407	-0.736968876
-1.272788829	-0.719350384	-12.04889016	0.155740592	-1.218751741	-5.388849558	-0.270153374	-0.766223876
-1.448881948	-0.483302799	-12.02301816	0.224572686	-1.153547574	-4.228849558	-0.356555995	-0.766136376
-1.180766067	-0.603914215	-9.822849163	-0.180842819	-1.259586561	-3.128849558	-0.155205464	-0.767486376
0.364002813	-0.31110963	-5.204231163	0.012947075	-0.96230724	-2.588849558	-0.315523675	-0.767478876
0.638992694	-0.801726046	-7.835601163	-0.78639623	-0.778103538	-1.988849558	-0.283843496	-0.768683876
0.711584575	-1.180725461	-4.293961163	-0.652110435	-0.9170857	-1.948849558	-0.403077346	-0.738366376
1.330948456	-0.829286877	0.692147837	-0.896593841	-0.76258865	-2.048849558	-0.653623945	-0.712463876
1.927644336	-0.217798292	-0.840542163	-0.841857446	-0.928230793	-3.888849558	-0.345926501	-0.723506376
0.634268366	-0.419254127	-1.6337882	-0.498334391	-1.06712591	-5.508849558	-0.427367142	-0.769161376
-0.780444605	-0.900773961	-2.994432236	-0.370469135	-1.396098307	-7.668849558	-0.35806434	-0.771518876
-1.697926576	-0.853206795	-9.924984272	-0.446537479	-1.402543951	-9.248849558	-0.497718351	-0.773226376
-1.968646546	-1.20149063	-10.31660531	-0.913713624	-1.556326678	-8.128849558	-0.342706218	-0.773496376
-1.463333517	-0.637163464	-11.75074834	-0.692088268	-1.690249686	-6.168849558	-0.477793943	-0.773488876
-1.237464487	-0.257292298	-10.98017138	-0.829736813	-1.480051867	-4.888849558	-0.433709328	-0.773101376
-1.244988458	-0.717362133	-9.335853418	-0.270508057	-1.538578079	-4.668849558	-0.388578628	-0.773358876
-1.841343429	-1.102315967	-9.428692454	-0.556491001	-1.124220178	-4.328849558	-0.266191712	-0.773431376
-1.530631399	-1.711201801	-6.63740649	-0.012838746	-1.644847067	-4.308849558	-0.162337165	-0.773548876
-1.44824837	-1.606941636	-7.611279527	-0.13534859	-1.300884048	-3.948849558	-0.1978609	-0.773446376
-0.22822934	-0.71928647	-0.565930563	-0.244629034	-1.162503124	-1.928849558	-0.231544512	-0.773583876
0.123253689	-0.082280304	-5.663854599	-0.585188379	-0.534739658	-1.888849558	-0.341605637	-0.773693876
-0.468147282	-0.356063139	-2.646525636	-0.327110623	-0.911930072	-0.748849558	-0.286643169	-0.773671376
-0.612627252	-0.211640973	-2.045933672	-0.517057067	-0.644544927	-0.568849558	-0.143001166	-0.773601376
-1.177631223	-1.166919807	-0.834967708	-0.377572512	-0.655312178	-0.688849558	-0.260829881	-0.773556376
-0.260336193	0.026987358	1.554902255	-0.294765556	-0.304354638	-0.108849558	-0.242442257	-0.773478876
0.815951836	0.538785524	3.169602219	0.167197399	-0.332207653	0.551150442	-0.246261287	-0.773543876
0.629565865	0.71633269	4.588810183	0.549461155	-0.440936365	-0.348849558	-0.316842134	-0.773573876
1.344173895	1.091356855	4.546137146	0.641931011	-0.170829848	1.051150442	-0.195052038	-0.773541376
1.705199924	1.095116021	7.54030511	0.392446766	0.166229835	0.731150442	-0.1058587	-0.773441376
1.572267954	1.357053187	11.00712907	1.013956822	-0.080697301	1.291150442	-0.211212896	-0.768998876
];

y  = data_q(:,1);
c  = data_q(:,2);
i  = data_q(:,3);
w  = data_q(:,4);
l  = data_q(:,5);
u  = data_q(:,6);
pi = data_q(:,7);
r  = data_q(:,8);

ti = [1981:0.25:2006:0.5];